2646271968 has 192 divisors, whose sum is σ = 7597981440. Its totient is φ = 803561472.

The previous prime is 2646271963. The next prime is 2646272009. The reversal of 2646271968 is 8691726462.

It is a self number, because there is not a number n which added to its sum of digits gives 2646271968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646271963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7625971 + ... + 7626317.

It is an arithmetic number, because the mean of its divisors is an integer number (39572820).

Almost surely, 2^2646271968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2646271968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798990720).

2646271968 is an abundant number, since it is smaller than the sum of its proper divisors (4951709472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2646271968 is a wasteful number, since it uses less digits than its factorization.

2646271968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 2646271968 is about 51441.9281131647. The cubic root of 2646271968 is about 1383.1782741701.

The spelling of 2646271968 in words is "two billion, six hundred forty-six million, two hundred seventy-one thousand, nine hundred sixty-eight".